nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
38,
24,
72,
2
] | 70 | [
"72/24=3",
"38-3=35",
"2*35=70"
] | Current State: 70:[38, 24, 72, 2], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [38, 2, 3]
Generated Node #2: [38, 2, 3] from Operation: 72/24=3
Current State: 70:[38, 2, 3], Operations: ['72/24=3']
Exploring Operation: 38-3=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 38-3=35
Current State: 70:[2, 35], Operations: ['72/24=3', '38-3=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
78,
45,
7,
17
] | 86 | [
"78-45=33",
"7*17=119",
"119-33=86"
] | Current State: 86:[78, 45, 7, 17], Operations: []
Exploring Operation: 78-45=33, Resulting Numbers: [7, 17, 33]
Generated Node #2: [7, 17, 33] from Operation: 78-45=33
Current State: 86:[7, 17, 33], Operations: ['78-45=33']
Exploring Operation: 7*17=119, Resulting Numbers: [33, 119]
Generated Node #3: [33, 119] from Operation: 7*17=119
Current State: 86:[33, 119], Operations: ['78-45=33', '7*17=119']
Exploring Operation: 119-33=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
64,
95,
8,
5
] | 98 | [
"64/8=8",
"95-5=90",
"8+90=98"
] | Current State: 98:[64, 95, 8, 5], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [95, 5, 8]
Generated Node #2: [95, 5, 8] from Operation: 64/8=8
Current State: 98:[95, 5, 8], Operations: ['64/8=8']
Exploring Operation: 95-5=90, Resulting Numbers: [8, 90]
Generated Node #3: [8, 90] from Operation: 95-5=90
Current State: 98:[8, 90], Operations: ['64/8=8', '95-5=90']
Exploring Operation: 8+90=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
39,
15,
79,
4
] | 62 | [
"39*4=156",
"15+79=94",
"156-94=62"
] | Current State: 62:[39, 15, 79, 4], Operations: []
Exploring Operation: 39*4=156, Resulting Numbers: [15, 79, 156]
Generated Node #2: [15, 79, 156] from Operation: 39*4=156
Current State: 62:[15, 79, 156], Operations: ['39*4=156']
Exploring Operation: 15+79=94, Resulting Numbers: [156, 94]
Generated Node #3: [156, 94] from Operation: 15+79=94
Current State: 62:[156, 94], Operations: ['39*4=156', '15+79=94']
Exploring Operation: 156-94=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
24,
57,
80,
36
] | 76 | [
"24+36=60",
"57*80=4560",
"4560/60=76"
] | Current State: 76:[24, 57, 80, 36], Operations: []
Exploring Operation: 24+36=60, Resulting Numbers: [57, 80, 60]
Generated Node #2: [57, 80, 60] from Operation: 24+36=60
Current State: 76:[57, 80, 60], Operations: ['24+36=60']
Exploring Operation: 57*80=4560, Resulting Numbers: [60, 4560]
Generated Node #3: [60, 4560] from Operation: 57*80=4560
Current State: 76:[60, 4560], Operations: ['24+36=60', '57*80=4560']
Exploring Operation: 4560/60=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
72,
38,
94,
74
] | 90 | [
"72+38=110",
"94-74=20",
"110-20=90"
] | Current State: 90:[72, 38, 94, 74], Operations: []
Exploring Operation: 72+38=110, Resulting Numbers: [94, 74, 110]
Generated Node #2: [94, 74, 110] from Operation: 72+38=110
Current State: 90:[94, 74, 110], Operations: ['72+38=110']
Exploring Operation: 94-74=20, Resulting Numbers: [110, 20]
Generated Node #3: [110, 20] from Operation: 94-74=20
Current State: 90:[110, 20], Operations: ['72+38=110', '94-74=20']
Exploring Operation: 110-20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
84,
42,
5,
80
] | 70 | [
"84/42=2",
"5*2=10",
"80-10=70"
] | Current State: 70:[84, 42, 5, 80], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [5, 80, 2]
Generated Node #2: [5, 80, 2] from Operation: 84/42=2
Current State: 70:[5, 80, 2], Operations: ['84/42=2']
Exploring Operation: 5*2=10, Resulting Numbers: [80, 10]
Generated Node #3: [80, 10] from Operation: 5*2=10
Current State: 70:[80, 10], Operations: ['84/42=2', '5*2=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
57,
1,
49,
67
] | 58 | [
"57+1=58",
"49+67=116",
"116-58=58"
] | Current State: 58:[57, 1, 49, 67], Operations: []
Exploring Operation: 57+1=58, Resulting Numbers: [49, 67, 58]
Generated Node #2: [49, 67, 58] from Operation: 57+1=58
Current State: 58:[49, 67, 58], Operations: ['57+1=58']
Exploring Operation: 49+67=116, Resulting Numbers: [58, 116]
Generated Node #3: [58, 116] from Operation: 49+67=116
Current State: 58:[58, 116], Operations: ['57+1=58', '49+67=116']
Exploring Operation: 116-58=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
5,
65,
47,
48
] | 71 | [
"5+65=70",
"48-47=1",
"70+1=71"
] | Current State: 71:[5, 65, 47, 48], Operations: []
Exploring Operation: 5+65=70, Resulting Numbers: [47, 48, 70]
Generated Node #2: [47, 48, 70] from Operation: 5+65=70
Current State: 71:[47, 48, 70], Operations: ['5+65=70']
Exploring Operation: 48-47=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 48-47=1
Current State: 71:[70, 1], Operations: ['5+65=70', '48-47=1']
Exploring Operation: 70+1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
56,
70,
6,
38
] | 17 | [
"56+70=126",
"126/6=21",
"38-21=17"
] | Current State: 17:[56, 70, 6, 38], Operations: []
Exploring Operation: 56+70=126, Resulting Numbers: [6, 38, 126]
Generated Node #2: [6, 38, 126] from Operation: 56+70=126
Current State: 17:[6, 38, 126], Operations: ['56+70=126']
Exploring Operation: 126/6=21, Resulting Numbers: [38, 21]
Generated Node #3: [38, 21] from Operation: 126/6=21
Current State: 17:[38, 21], Operations: ['56+70=126', '126/6=21']
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
36,
25,
24,
29
] | 16 | [
"36-25=11",
"29-24=5",
"11+5=16"
] | Current State: 16:[36, 25, 24, 29], Operations: []
Exploring Operation: 36-25=11, Resulting Numbers: [24, 29, 11]
Generated Node #2: [24, 29, 11] from Operation: 36-25=11
Current State: 16:[24, 29, 11], Operations: ['36-25=11']
Exploring Operation: 29-24=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 29-24=5
Current State: 16:[11, 5], Operations: ['36-25=11', '29-24=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
30,
19,
70,
33
] | 25 | [
"33-19=14",
"70/14=5",
"30-5=25"
] | Current State: 25:[30, 19, 70, 33], Operations: []
Exploring Operation: 33-19=14, Resulting Numbers: [30, 70, 14]
Generated Node #2: [30, 70, 14] from Operation: 33-19=14
Current State: 25:[30, 70, 14], Operations: ['33-19=14']
Exploring Operation: 70/14=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 70/14=5
Current State: 25:[30, 5], Operations: ['33-19=14', '70/14=5']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
62,
39,
11,
57
] | 94 | [
"62-57=5",
"11*5=55",
"39+55=94"
] | Current State: 94:[62, 39, 11, 57], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [39, 11, 5]
Generated Node #2: [39, 11, 5] from Operation: 62-57=5
Current State: 94:[39, 11, 5], Operations: ['62-57=5']
Exploring Operation: 11*5=55, Resulting Numbers: [39, 55]
Generated Node #3: [39, 55] from Operation: 11*5=55
Current State: 94:[39, 55], Operations: ['62-57=5', '11*5=55']
Exploring Operation: 39+55=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
60,
88,
59,
17
] | 81 | [
"60+59=119",
"119/17=7",
"88-7=81"
] | Current State: 81:[60, 88, 59, 17], Operations: []
Exploring Operation: 60+59=119, Resulting Numbers: [88, 17, 119]
Generated Node #2: [88, 17, 119] from Operation: 60+59=119
Current State: 81:[88, 17, 119], Operations: ['60+59=119']
Exploring Operation: 119/17=7, Resulting Numbers: [88, 7]
Generated Node #3: [88, 7] from Operation: 119/17=7
Current State: 81:[88, 7], Operations: ['60+59=119', '119/17=7']
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
34,
45,
10,
3
] | 37 | [
"34-10=24",
"24/3=8",
"45-8=37"
] | Current State: 37:[34, 45, 10, 3], Operations: []
Exploring Operation: 34-10=24, Resulting Numbers: [45, 3, 24]
Generated Node #2: [45, 3, 24] from Operation: 34-10=24
Current State: 37:[45, 3, 24], Operations: ['34-10=24']
Exploring Operation: 24/3=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 24/3=8
Current State: 37:[45, 8], Operations: ['34-10=24', '24/3=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
68,
33,
80,
16
] | 96 | [
"68+33=101",
"80/16=5",
"101-5=96"
] | Current State: 96:[68, 33, 80, 16], Operations: []
Exploring Operation: 68+33=101, Resulting Numbers: [80, 16, 101]
Generated Node #2: [80, 16, 101] from Operation: 68+33=101
Current State: 96:[80, 16, 101], Operations: ['68+33=101']
Exploring Operation: 80/16=5, Resulting Numbers: [101, 5]
Generated Node #3: [101, 5] from Operation: 80/16=5
Current State: 96:[101, 5], Operations: ['68+33=101', '80/16=5']
Exploring Operation: 101-5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
85,
84,
81,
68
] | 12 | [
"85-84=1",
"81-68=13",
"13-1=12"
] | Current State: 12:[85, 84, 81, 68], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [81, 68, 1]
Generated Node #2: [81, 68, 1] from Operation: 85-84=1
Current State: 12:[81, 68, 1], Operations: ['85-84=1']
Exploring Operation: 81-68=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 81-68=13
Current State: 12:[1, 13], Operations: ['85-84=1', '81-68=13']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
44,
10,
22,
14
] | 36 | [
"22-14=8",
"10*8=80",
"80-44=36"
] | Current State: 36:[44, 10, 22, 14], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [44, 10, 8]
Generated Node #2: [44, 10, 8] from Operation: 22-14=8
Current State: 36:[44, 10, 8], Operations: ['22-14=8']
Exploring Operation: 10*8=80, Resulting Numbers: [44, 80]
Generated Node #3: [44, 80] from Operation: 10*8=80
Current State: 36:[44, 80], Operations: ['22-14=8', '10*8=80']
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
19,
97,
41,
58
] | 38 | [
"97-41=56",
"58-56=2",
"19*2=38"
] | Current State: 38:[19, 97, 41, 58], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [19, 58, 56]
Generated Node #2: [19, 58, 56] from Operation: 97-41=56
Current State: 38:[19, 58, 56], Operations: ['97-41=56']
Exploring Operation: 58-56=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 58-56=2
Current State: 38:[19, 2], Operations: ['97-41=56', '58-56=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
63,
64,
5,
81
] | 77 | [
"64-63=1",
"81-5=76",
"1+76=77"
] | Current State: 77:[63, 64, 5, 81], Operations: []
Exploring Operation: 64-63=1, Resulting Numbers: [5, 81, 1]
Generated Node #2: [5, 81, 1] from Operation: 64-63=1
Current State: 77:[5, 81, 1], Operations: ['64-63=1']
Exploring Operation: 81-5=76, Resulting Numbers: [1, 76]
Generated Node #3: [1, 76] from Operation: 81-5=76
Current State: 77:[1, 76], Operations: ['64-63=1', '81-5=76']
Exploring Operation: 1+76=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
10,
31,
7,
26
] | 40 | [
"31-10=21",
"26-7=19",
"21+19=40"
] | Current State: 40:[10, 31, 7, 26], Operations: []
Exploring Operation: 31-10=21, Resulting Numbers: [7, 26, 21]
Generated Node #2: [7, 26, 21] from Operation: 31-10=21
Current State: 40:[7, 26, 21], Operations: ['31-10=21']
Exploring Operation: 26-7=19, Resulting Numbers: [21, 19]
Generated Node #3: [21, 19] from Operation: 26-7=19
Current State: 40:[21, 19], Operations: ['31-10=21', '26-7=19']
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
81,
24,
27,
3
] | 80 | [
"27-24=3",
"3/3=1",
"81-1=80"
] | Current State: 80:[81, 24, 27, 3], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [81, 3, 3]
Generated Node #2: [81, 3, 3] from Operation: 27-24=3
Current State: 80:[81, 3, 3], Operations: ['27-24=3']
Exploring Operation: 3/3=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 3/3=1
Current State: 80:[81, 1], Operations: ['27-24=3', '3/3=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
75,
26,
44,
40
] | 17 | [
"75+26=101",
"44+40=84",
"101-84=17"
] | Current State: 17:[75, 26, 44, 40], Operations: []
Exploring Operation: 75+26=101, Resulting Numbers: [44, 40, 101]
Generated Node #2: [44, 40, 101] from Operation: 75+26=101
Current State: 17:[44, 40, 101], Operations: ['75+26=101']
Exploring Operation: 44+40=84, Resulting Numbers: [101, 84]
Generated Node #3: [101, 84] from Operation: 44+40=84
Current State: 17:[101, 84], Operations: ['75+26=101', '44+40=84']
Exploring Operation: 101-84=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
50,
50,
37,
13
] | 37 | [
"50-50=0",
"13*0=0",
"37+0=37"
] | Current State: 37:[50, 50, 37, 13], Operations: []
Exploring Operation: 50-50=0, Resulting Numbers: [37, 13, 0]
Generated Node #2: [37, 13, 0] from Operation: 50-50=0
Current State: 37:[37, 13, 0], Operations: ['50-50=0']
Exploring Operation: 13*0=0, Resulting Numbers: [37, 0]
Generated Node #3: [37, 0] from Operation: 13*0=0
Current State: 37:[37, 0], Operations: ['50-50=0', '13*0=0']
Exploring Operation: 37+0=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
78,
62,
44,
40
] | 64 | [
"78-62=16",
"44-40=4",
"16*4=64"
] | Current State: 64:[78, 62, 44, 40], Operations: []
Exploring Operation: 78-62=16, Resulting Numbers: [44, 40, 16]
Generated Node #2: [44, 40, 16] from Operation: 78-62=16
Current State: 64:[44, 40, 16], Operations: ['78-62=16']
Exploring Operation: 44-40=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 44-40=4
Current State: 64:[16, 4], Operations: ['78-62=16', '44-40=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
44,
59,
67,
66
] | 16 | [
"59-44=15",
"67-66=1",
"15+1=16"
] | Current State: 16:[44, 59, 67, 66], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [67, 66, 15]
Generated Node #2: [67, 66, 15] from Operation: 59-44=15
Current State: 16:[67, 66, 15], Operations: ['59-44=15']
Exploring Operation: 67-66=1, Resulting Numbers: [15, 1]
Generated Node #3: [15, 1] from Operation: 67-66=1
Current State: 16:[15, 1], Operations: ['59-44=15', '67-66=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
86,
75,
90,
18
] | 97 | [
"86-75=11",
"90+18=108",
"108-11=97"
] | Current State: 97:[86, 75, 90, 18], Operations: []
Exploring Operation: 86-75=11, Resulting Numbers: [90, 18, 11]
Generated Node #2: [90, 18, 11] from Operation: 86-75=11
Current State: 97:[90, 18, 11], Operations: ['86-75=11']
Exploring Operation: 90+18=108, Resulting Numbers: [11, 108]
Generated Node #3: [11, 108] from Operation: 90+18=108
Current State: 97:[11, 108], Operations: ['86-75=11', '90+18=108']
Exploring Operation: 108-11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
73,
8,
70,
50
] | 10 | [
"73-8=65",
"70-65=5",
"50/5=10"
] | Current State: 10:[73, 8, 70, 50], Operations: []
Exploring Operation: 73-8=65, Resulting Numbers: [70, 50, 65]
Generated Node #2: [70, 50, 65] from Operation: 73-8=65
Current State: 10:[70, 50, 65], Operations: ['73-8=65']
Exploring Operation: 70-65=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 70-65=5
Current State: 10:[50, 5], Operations: ['73-8=65', '70-65=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
31,
67,
5,
44
] | 46 | [
"67-5=62",
"62/31=2",
"44+2=46"
] | Current State: 46:[31, 67, 5, 44], Operations: []
Exploring Operation: 67-5=62, Resulting Numbers: [31, 44, 62]
Generated Node #2: [31, 44, 62] from Operation: 67-5=62
Current State: 46:[31, 44, 62], Operations: ['67-5=62']
Exploring Operation: 62/31=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 62/31=2
Current State: 46:[44, 2], Operations: ['67-5=62', '62/31=2']
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
41,
44,
52,
55
] | 12 | [
"41+55=96",
"52-44=8",
"96/8=12"
] | Current State: 12:[41, 44, 52, 55], Operations: []
Exploring Operation: 41+55=96, Resulting Numbers: [44, 52, 96]
Generated Node #2: [44, 52, 96] from Operation: 41+55=96
Current State: 12:[44, 52, 96], Operations: ['41+55=96']
Exploring Operation: 52-44=8, Resulting Numbers: [96, 8]
Generated Node #3: [96, 8] from Operation: 52-44=8
Current State: 12:[96, 8], Operations: ['41+55=96', '52-44=8']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
26,
75,
6,
76
] | 92 | [
"26+76=102",
"102/6=17",
"75+17=92"
] | Current State: 92:[26, 75, 6, 76], Operations: []
Exploring Operation: 26+76=102, Resulting Numbers: [75, 6, 102]
Generated Node #2: [75, 6, 102] from Operation: 26+76=102
Current State: 92:[75, 6, 102], Operations: ['26+76=102']
Exploring Operation: 102/6=17, Resulting Numbers: [75, 17]
Generated Node #3: [75, 17] from Operation: 102/6=17
Current State: 92:[75, 17], Operations: ['26+76=102', '102/6=17']
Exploring Operation: 75+17=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
22,
61,
57,
72
] | 54 | [
"61-22=39",
"72-57=15",
"39+15=54"
] | Current State: 54:[22, 61, 57, 72], Operations: []
Exploring Operation: 61-22=39, Resulting Numbers: [57, 72, 39]
Generated Node #2: [57, 72, 39] from Operation: 61-22=39
Current State: 54:[57, 72, 39], Operations: ['61-22=39']
Exploring Operation: 72-57=15, Resulting Numbers: [39, 15]
Generated Node #3: [39, 15] from Operation: 72-57=15
Current State: 54:[39, 15], Operations: ['61-22=39', '72-57=15']
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
54,
18,
10,
33
] | 89 | [
"54/18=3",
"33*3=99",
"99-10=89"
] | Current State: 89:[54, 18, 10, 33], Operations: []
Exploring Operation: 54/18=3, Resulting Numbers: [10, 33, 3]
Generated Node #2: [10, 33, 3] from Operation: 54/18=3
Current State: 89:[10, 33, 3], Operations: ['54/18=3']
Exploring Operation: 33*3=99, Resulting Numbers: [10, 99]
Generated Node #3: [10, 99] from Operation: 33*3=99
Current State: 89:[10, 99], Operations: ['54/18=3', '33*3=99']
Exploring Operation: 99-10=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
7,
4,
4,
27
] | 84 | [
"27-7=20",
"4*20=80",
"4+80=84"
] | Current State: 84:[7, 4, 4, 27], Operations: []
Exploring Operation: 27-7=20, Resulting Numbers: [4, 4, 20]
Generated Node #2: [4, 4, 20] from Operation: 27-7=20
Current State: 84:[4, 4, 20], Operations: ['27-7=20']
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,84 equal: Goal Reached
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
37,
25,
5,
6
] | 62 | [
"37+25=62",
"6-5=1",
"62*1=62"
] | Current State: 62:[37, 25, 5, 6], Operations: []
Exploring Operation: 37+25=62, Resulting Numbers: [5, 6, 62]
Generated Node #2: [5, 6, 62] from Operation: 37+25=62
Current State: 62:[5, 6, 62], Operations: ['37+25=62']
Exploring Operation: 6-5=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 6-5=1
Current State: 62:[62, 1], Operations: ['37+25=62', '6-5=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
82,
26,
48,
12
] | 20 | [
"82-26=56",
"48-12=36",
"56-36=20"
] | Current State: 20:[82, 26, 48, 12], Operations: []
Exploring Operation: 82-26=56, Resulting Numbers: [48, 12, 56]
Generated Node #2: [48, 12, 56] from Operation: 82-26=56
Current State: 20:[48, 12, 56], Operations: ['82-26=56']
Exploring Operation: 48-12=36, Resulting Numbers: [56, 36]
Generated Node #3: [56, 36] from Operation: 48-12=36
Current State: 20:[56, 36], Operations: ['82-26=56', '48-12=36']
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
70,
74,
6,
38
] | 56 | [
"70+38=108",
"108/6=18",
"74-18=56"
] | Current State: 56:[70, 74, 6, 38], Operations: []
Exploring Operation: 70+38=108, Resulting Numbers: [74, 6, 108]
Generated Node #2: [74, 6, 108] from Operation: 70+38=108
Current State: 56:[74, 6, 108], Operations: ['70+38=108']
Exploring Operation: 108/6=18, Resulting Numbers: [74, 18]
Generated Node #3: [74, 18] from Operation: 108/6=18
Current State: 56:[74, 18], Operations: ['70+38=108', '108/6=18']
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
69,
88,
1,
17
] | 35 | [
"88-69=19",
"17-1=16",
"19+16=35"
] | Current State: 35:[69, 88, 1, 17], Operations: []
Exploring Operation: 88-69=19, Resulting Numbers: [1, 17, 19]
Generated Node #2: [1, 17, 19] from Operation: 88-69=19
Current State: 35:[1, 17, 19], Operations: ['88-69=19']
Exploring Operation: 17-1=16, Resulting Numbers: [19, 16]
Generated Node #3: [19, 16] from Operation: 17-1=16
Current State: 35:[19, 16], Operations: ['88-69=19', '17-1=16']
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
52,
78,
72,
39
] | 48 | [
"78-52=26",
"72*26=1872",
"1872/39=48"
] | Current State: 48:[52, 78, 72, 39], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [72, 39, 26]
Generated Node #2: [72, 39, 26] from Operation: 78-52=26
Current State: 48:[72, 39, 26], Operations: ['78-52=26']
Exploring Operation: 72*26=1872, Resulting Numbers: [39, 1872]
Generated Node #3: [39, 1872] from Operation: 72*26=1872
Current State: 48:[39, 1872], Operations: ['78-52=26', '72*26=1872']
Exploring Operation: 1872/39=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
11,
35,
22,
57
] | 79 | [
"22/11=2",
"57*2=114",
"114-35=79"
] | Current State: 79:[11, 35, 22, 57], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [35, 57, 2]
Generated Node #2: [35, 57, 2] from Operation: 22/11=2
Current State: 79:[35, 57, 2], Operations: ['22/11=2']
Exploring Operation: 57*2=114, Resulting Numbers: [35, 114]
Generated Node #3: [35, 114] from Operation: 57*2=114
Current State: 79:[35, 114], Operations: ['22/11=2', '57*2=114']
Exploring Operation: 114-35=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
2,
96,
11,
69
] | 32 | [
"96/2=48",
"11+69=80",
"80-48=32"
] | Current State: 32:[2, 96, 11, 69], Operations: []
Exploring Operation: 96/2=48, Resulting Numbers: [11, 69, 48]
Generated Node #2: [11, 69, 48] from Operation: 96/2=48
Current State: 32:[11, 69, 48], Operations: ['96/2=48']
Exploring Operation: 11+69=80, Resulting Numbers: [48, 80]
Generated Node #3: [48, 80] from Operation: 11+69=80
Current State: 32:[48, 80], Operations: ['96/2=48', '11+69=80']
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
88,
48,
82,
65
] | 57 | [
"88-48=40",
"82-65=17",
"40+17=57"
] | Current State: 57:[88, 48, 82, 65], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [82, 65, 40]
Generated Node #2: [82, 65, 40] from Operation: 88-48=40
Current State: 57:[82, 65, 40], Operations: ['88-48=40']
Exploring Operation: 82-65=17, Resulting Numbers: [40, 17]
Generated Node #3: [40, 17] from Operation: 82-65=17
Current State: 57:[40, 17], Operations: ['88-48=40', '82-65=17']
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
42,
35,
45,
48
] | 91 | [
"48-45=3",
"42*3=126",
"126-35=91"
] | Current State: 91:[42, 35, 45, 48], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [42, 35, 3]
Generated Node #2: [42, 35, 3] from Operation: 48-45=3
Current State: 91:[42, 35, 3], Operations: ['48-45=3']
Exploring Operation: 42*3=126, Resulting Numbers: [35, 126]
Generated Node #3: [35, 126] from Operation: 42*3=126
Current State: 91:[35, 126], Operations: ['48-45=3', '42*3=126']
Exploring Operation: 126-35=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
50,
5,
41,
40
] | 23 | [
"50+40=90",
"90/5=18",
"41-18=23"
] | Current State: 23:[50, 5, 41, 40], Operations: []
Exploring Operation: 50+40=90, Resulting Numbers: [5, 41, 90]
Generated Node #2: [5, 41, 90] from Operation: 50+40=90
Current State: 23:[5, 41, 90], Operations: ['50+40=90']
Exploring Operation: 90/5=18, Resulting Numbers: [41, 18]
Generated Node #3: [41, 18] from Operation: 90/5=18
Current State: 23:[41, 18], Operations: ['50+40=90', '90/5=18']
Exploring Operation: 41-18=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
3,
44,
40,
62
] | 55 | [
"3+44=47",
"40+62=102",
"102-47=55"
] | Current State: 55:[3, 44, 40, 62], Operations: []
Exploring Operation: 3+44=47, Resulting Numbers: [40, 62, 47]
Generated Node #2: [40, 62, 47] from Operation: 3+44=47
Current State: 55:[40, 62, 47], Operations: ['3+44=47']
Exploring Operation: 40+62=102, Resulting Numbers: [47, 102]
Generated Node #3: [47, 102] from Operation: 40+62=102
Current State: 55:[47, 102], Operations: ['3+44=47', '40+62=102']
Exploring Operation: 102-47=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
75,
85,
56,
8
] | 67 | [
"75-56=19",
"8*19=152",
"152-85=67"
] | Current State: 67:[75, 85, 56, 8], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [85, 8, 19]
Generated Node #2: [85, 8, 19] from Operation: 75-56=19
Current State: 67:[85, 8, 19], Operations: ['75-56=19']
Exploring Operation: 8*19=152, Resulting Numbers: [85, 152]
Generated Node #3: [85, 152] from Operation: 8*19=152
Current State: 67:[85, 152], Operations: ['75-56=19', '8*19=152']
Exploring Operation: 152-85=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
30,
85,
9,
17
] | 63 | [
"85-30=55",
"17-9=8",
"55+8=63"
] | Current State: 63:[30, 85, 9, 17], Operations: []
Exploring Operation: 85-30=55, Resulting Numbers: [9, 17, 55]
Generated Node #2: [9, 17, 55] from Operation: 85-30=55
Current State: 63:[9, 17, 55], Operations: ['85-30=55']
Exploring Operation: 17-9=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 17-9=8
Current State: 63:[55, 8], Operations: ['85-30=55', '17-9=8']
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
25,
80,
63,
40
] | 86 | [
"25+63=88",
"80/40=2",
"88-2=86"
] | Current State: 86:[25, 80, 63, 40], Operations: []
Exploring Operation: 25+63=88, Resulting Numbers: [80, 40, 88]
Generated Node #2: [80, 40, 88] from Operation: 25+63=88
Current State: 86:[80, 40, 88], Operations: ['25+63=88']
Exploring Operation: 80/40=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 80/40=2
Current State: 86:[88, 2], Operations: ['25+63=88', '80/40=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
71,
77,
97,
29
] | 74 | [
"77-71=6",
"97-29=68",
"6+68=74"
] | Current State: 74:[71, 77, 97, 29], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [97, 29, 6]
Generated Node #2: [97, 29, 6] from Operation: 77-71=6
Current State: 74:[97, 29, 6], Operations: ['77-71=6']
Exploring Operation: 97-29=68, Resulting Numbers: [6, 68]
Generated Node #3: [6, 68] from Operation: 97-29=68
Current State: 74:[6, 68], Operations: ['77-71=6', '97-29=68']
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
61,
9,
46,
81
] | 87 | [
"61-9=52",
"81-46=35",
"52+35=87"
] | Current State: 87:[61, 9, 46, 81], Operations: []
Exploring Operation: 61-9=52, Resulting Numbers: [46, 81, 52]
Generated Node #2: [46, 81, 52] from Operation: 61-9=52
Current State: 87:[46, 81, 52], Operations: ['61-9=52']
Exploring Operation: 81-46=35, Resulting Numbers: [52, 35]
Generated Node #3: [52, 35] from Operation: 81-46=35
Current State: 87:[52, 35], Operations: ['61-9=52', '81-46=35']
Exploring Operation: 52+35=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
40,
73,
19,
24
] | 10 | [
"73-40=33",
"19+24=43",
"43-33=10"
] | Current State: 10:[40, 73, 19, 24], Operations: []
Exploring Operation: 73-40=33, Resulting Numbers: [19, 24, 33]
Generated Node #2: [19, 24, 33] from Operation: 73-40=33
Current State: 10:[19, 24, 33], Operations: ['73-40=33']
Exploring Operation: 19+24=43, Resulting Numbers: [33, 43]
Generated Node #3: [33, 43] from Operation: 19+24=43
Current State: 10:[33, 43], Operations: ['73-40=33', '19+24=43']
Exploring Operation: 43-33=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
4,
48,
46,
9
] | 18 | [
"48-4=44",
"46-44=2",
"9*2=18"
] | Current State: 18:[4, 48, 46, 9], Operations: []
Exploring Operation: 48-4=44, Resulting Numbers: [46, 9, 44]
Generated Node #2: [46, 9, 44] from Operation: 48-4=44
Current State: 18:[46, 9, 44], Operations: ['48-4=44']
Exploring Operation: 46-44=2, Resulting Numbers: [9, 2]
Generated Node #3: [9, 2] from Operation: 46-44=2
Current State: 18:[9, 2], Operations: ['48-4=44', '46-44=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
57,
27,
57,
59
] | 82 | [
"57+27=84",
"59-57=2",
"84-2=82"
] | Current State: 82:[57, 27, 57, 59], Operations: []
Exploring Operation: 57+27=84, Resulting Numbers: [59, 84]
Generated Node #2: [59, 84] from Operation: 57+27=84
Current State: 82:[59, 84], Operations: ['57+27=84']
Exploring Operation: 59-57=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 59-57=2
Current State: 82:[84, 2], Operations: ['57+27=84', '59-57=2']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
42,
31,
12,
22
] | 15 | [
"31*12=372",
"372-42=330",
"330/22=15"
] | Current State: 15:[42, 31, 12, 22], Operations: []
Exploring Operation: 31*12=372, Resulting Numbers: [42, 22, 372]
Generated Node #2: [42, 22, 372] from Operation: 31*12=372
Current State: 15:[42, 22, 372], Operations: ['31*12=372']
Exploring Operation: 372-42=330, Resulting Numbers: [22, 330]
Generated Node #3: [22, 330] from Operation: 372-42=330
Current State: 15:[22, 330], Operations: ['31*12=372', '372-42=330']
Exploring Operation: 330/22=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
79,
1,
7,
71
] | 89 | [
"71-1=70",
"70/7=10",
"79+10=89"
] | Current State: 89:[79, 1, 7, 71], Operations: []
Exploring Operation: 71-1=70, Resulting Numbers: [79, 7, 70]
Generated Node #2: [79, 7, 70] from Operation: 71-1=70
Current State: 89:[79, 7, 70], Operations: ['71-1=70']
Exploring Operation: 70/7=10, Resulting Numbers: [79, 10]
Generated Node #3: [79, 10] from Operation: 70/7=10
Current State: 89:[79, 10], Operations: ['71-1=70', '70/7=10']
Exploring Operation: 79+10=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
63,
84,
65,
7
] | 93 | [
"84-63=21",
"65+7=72",
"21+72=93"
] | Current State: 93:[63, 84, 65, 7], Operations: []
Exploring Operation: 84-63=21, Resulting Numbers: [65, 7, 21]
Generated Node #2: [65, 7, 21] from Operation: 84-63=21
Current State: 93:[65, 7, 21], Operations: ['84-63=21']
Exploring Operation: 65+7=72, Resulting Numbers: [21, 72]
Generated Node #3: [21, 72] from Operation: 65+7=72
Current State: 93:[21, 72], Operations: ['84-63=21', '65+7=72']
Exploring Operation: 21+72=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
41,
60,
58,
32
] | 18 | [
"41-32=9",
"60-58=2",
"9*2=18"
] | Current State: 18:[41, 60, 58, 32], Operations: []
Exploring Operation: 41-32=9, Resulting Numbers: [60, 58, 9]
Generated Node #2: [60, 58, 9] from Operation: 41-32=9
Current State: 18:[60, 58, 9], Operations: ['41-32=9']
Exploring Operation: 60-58=2, Resulting Numbers: [9, 2]
Generated Node #3: [9, 2] from Operation: 60-58=2
Current State: 18:[9, 2], Operations: ['41-32=9', '60-58=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
46,
17,
63,
33
] | 24 | [
"17*63=1071",
"33+1071=1104",
"1104/46=24"
] | Current State: 24:[46, 17, 63, 33], Operations: []
Exploring Operation: 17*63=1071, Resulting Numbers: [46, 33, 1071]
Generated Node #2: [46, 33, 1071] from Operation: 17*63=1071
Current State: 24:[46, 33, 1071], Operations: ['17*63=1071']
Exploring Operation: 33+1071=1104, Resulting Numbers: [46, 1104]
Generated Node #3: [46, 1104] from Operation: 33+1071=1104
Current State: 24:[46, 1104], Operations: ['17*63=1071', '33+1071=1104']
Exploring Operation: 1104/46=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
49,
34,
40,
1
] | 25 | [
"49-34=15",
"40*1=40",
"40-15=25"
] | Current State: 25:[49, 34, 40, 1], Operations: []
Exploring Operation: 49-34=15, Resulting Numbers: [40, 1, 15]
Generated Node #2: [40, 1, 15] from Operation: 49-34=15
Current State: 25:[40, 1, 15], Operations: ['49-34=15']
Exploring Operation: 40*1=40, Resulting Numbers: [15, 40]
Generated Node #3: [15, 40] from Operation: 40*1=40
Current State: 25:[15, 40], Operations: ['49-34=15', '40*1=40']
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
87,
76,
36,
2
] | 13 | [
"87-36=51",
"76/2=38",
"51-38=13"
] | Current State: 13:[87, 76, 36, 2], Operations: []
Exploring Operation: 87-36=51, Resulting Numbers: [76, 2, 51]
Generated Node #2: [76, 2, 51] from Operation: 87-36=51
Current State: 13:[76, 2, 51], Operations: ['87-36=51']
Exploring Operation: 76/2=38, Resulting Numbers: [51, 38]
Generated Node #3: [51, 38] from Operation: 76/2=38
Current State: 13:[51, 38], Operations: ['87-36=51', '76/2=38']
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
86,
51,
35,
5
] | 38 | [
"86+51=137",
"35*5=175",
"175-137=38"
] | Current State: 38:[86, 51, 35, 5], Operations: []
Exploring Operation: 86+51=137, Resulting Numbers: [35, 5, 137]
Generated Node #2: [35, 5, 137] from Operation: 86+51=137
Current State: 38:[35, 5, 137], Operations: ['86+51=137']
Exploring Operation: 35*5=175, Resulting Numbers: [137, 175]
Generated Node #3: [137, 175] from Operation: 35*5=175
Current State: 38:[137, 175], Operations: ['86+51=137', '35*5=175']
Exploring Operation: 175-137=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
96,
15,
58,
46
] | 23 | [
"96-15=81",
"58+46=104",
"104-81=23"
] | Current State: 23:[96, 15, 58, 46], Operations: []
Exploring Operation: 96-15=81, Resulting Numbers: [58, 46, 81]
Generated Node #2: [58, 46, 81] from Operation: 96-15=81
Current State: 23:[58, 46, 81], Operations: ['96-15=81']
Exploring Operation: 58+46=104, Resulting Numbers: [81, 104]
Generated Node #3: [81, 104] from Operation: 58+46=104
Current State: 23:[81, 104], Operations: ['96-15=81', '58+46=104']
Exploring Operation: 104-81=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
30,
2,
92,
5
] | 37 | [
"30*2=60",
"92+5=97",
"97-60=37"
] | Current State: 37:[30, 2, 92, 5], Operations: []
Exploring Operation: 30*2=60, Resulting Numbers: [92, 5, 60]
Generated Node #2: [92, 5, 60] from Operation: 30*2=60
Current State: 37:[92, 5, 60], Operations: ['30*2=60']
Exploring Operation: 92+5=97, Resulting Numbers: [60, 97]
Generated Node #3: [60, 97] from Operation: 92+5=97
Current State: 37:[60, 97], Operations: ['30*2=60', '92+5=97']
Exploring Operation: 97-60=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
77,
81,
9,
5
] | 49 | [
"81-77=4",
"9*5=45",
"4+45=49"
] | Current State: 49:[77, 81, 9, 5], Operations: []
Exploring Operation: 81-77=4, Resulting Numbers: [9, 5, 4]
Generated Node #2: [9, 5, 4] from Operation: 81-77=4
Current State: 49:[9, 5, 4], Operations: ['81-77=4']
Exploring Operation: 9*5=45, Resulting Numbers: [4, 45]
Generated Node #3: [4, 45] from Operation: 9*5=45
Current State: 49:[4, 45], Operations: ['81-77=4', '9*5=45']
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
90,
69,
67,
76
] | 31 | [
"69-67=2",
"90/2=45",
"76-45=31"
] | Current State: 31:[90, 69, 67, 76], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [90, 76, 2]
Generated Node #2: [90, 76, 2] from Operation: 69-67=2
Current State: 31:[90, 76, 2], Operations: ['69-67=2']
Exploring Operation: 90/2=45, Resulting Numbers: [76, 45]
Generated Node #3: [76, 45] from Operation: 90/2=45
Current State: 31:[76, 45], Operations: ['69-67=2', '90/2=45']
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
74,
82,
61,
67
] | 26 | [
"74+82=156",
"67-61=6",
"156/6=26"
] | Current State: 26:[74, 82, 61, 67], Operations: []
Exploring Operation: 74+82=156, Resulting Numbers: [61, 67, 156]
Generated Node #2: [61, 67, 156] from Operation: 74+82=156
Current State: 26:[61, 67, 156], Operations: ['74+82=156']
Exploring Operation: 67-61=6, Resulting Numbers: [156, 6]
Generated Node #3: [156, 6] from Operation: 67-61=6
Current State: 26:[156, 6], Operations: ['74+82=156', '67-61=6']
Exploring Operation: 156/6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
48,
18,
8,
90
] | 68 | [
"48-18=30",
"8+90=98",
"98-30=68"
] | Current State: 68:[48, 18, 8, 90], Operations: []
Exploring Operation: 48-18=30, Resulting Numbers: [8, 90, 30]
Generated Node #2: [8, 90, 30] from Operation: 48-18=30
Current State: 68:[8, 90, 30], Operations: ['48-18=30']
Exploring Operation: 8+90=98, Resulting Numbers: [30, 98]
Generated Node #3: [30, 98] from Operation: 8+90=98
Current State: 68:[30, 98], Operations: ['48-18=30', '8+90=98']
Exploring Operation: 98-30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
11,
70,
76,
78
] | 46 | [
"78-76=2",
"70/2=35",
"11+35=46"
] | Current State: 46:[11, 70, 76, 78], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [11, 70, 2]
Generated Node #2: [11, 70, 2] from Operation: 78-76=2
Current State: 46:[11, 70, 2], Operations: ['78-76=2']
Exploring Operation: 70/2=35, Resulting Numbers: [11, 35]
Generated Node #3: [11, 35] from Operation: 70/2=35
Current State: 46:[11, 35], Operations: ['78-76=2', '70/2=35']
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
83,
18,
20,
6
] | 66 | [
"83-20=63",
"18/6=3",
"63+3=66"
] | Current State: 66:[83, 18, 20, 6], Operations: []
Exploring Operation: 83-20=63, Resulting Numbers: [18, 6, 63]
Generated Node #2: [18, 6, 63] from Operation: 83-20=63
Current State: 66:[18, 6, 63], Operations: ['83-20=63']
Exploring Operation: 18/6=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 18/6=3
Current State: 66:[63, 3], Operations: ['83-20=63', '18/6=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
74,
18,
25,
16
] | 20 | [
"74+16=90",
"90/18=5",
"25-5=20"
] | Current State: 20:[74, 18, 25, 16], Operations: []
Exploring Operation: 74+16=90, Resulting Numbers: [18, 25, 90]
Generated Node #2: [18, 25, 90] from Operation: 74+16=90
Current State: 20:[18, 25, 90], Operations: ['74+16=90']
Exploring Operation: 90/18=5, Resulting Numbers: [25, 5]
Generated Node #3: [25, 5] from Operation: 90/18=5
Current State: 20:[25, 5], Operations: ['74+16=90', '90/18=5']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
62,
33,
3,
88
] | 70 | [
"33/3=11",
"88/11=8",
"62+8=70"
] | Current State: 70:[62, 33, 3, 88], Operations: []
Exploring Operation: 33/3=11, Resulting Numbers: [62, 88, 11]
Generated Node #2: [62, 88, 11] from Operation: 33/3=11
Current State: 70:[62, 88, 11], Operations: ['33/3=11']
Exploring Operation: 88/11=8, Resulting Numbers: [62, 8]
Generated Node #3: [62, 8] from Operation: 88/11=8
Current State: 70:[62, 8], Operations: ['33/3=11', '88/11=8']
Exploring Operation: 62+8=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
64,
71,
4,
9
] | 99 | [
"64+71=135",
"4*9=36",
"135-36=99"
] | Current State: 99:[64, 71, 4, 9], Operations: []
Exploring Operation: 64+71=135, Resulting Numbers: [4, 9, 135]
Generated Node #2: [4, 9, 135] from Operation: 64+71=135
Current State: 99:[4, 9, 135], Operations: ['64+71=135']
Exploring Operation: 4*9=36, Resulting Numbers: [135, 36]
Generated Node #3: [135, 36] from Operation: 4*9=36
Current State: 99:[135, 36], Operations: ['64+71=135', '4*9=36']
Exploring Operation: 135-36=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
94,
32,
68,
84
] | 14 | [
"94-32=62",
"68-62=6",
"84/6=14"
] | Current State: 14:[94, 32, 68, 84], Operations: []
Exploring Operation: 94-32=62, Resulting Numbers: [68, 84, 62]
Generated Node #2: [68, 84, 62] from Operation: 94-32=62
Current State: 14:[68, 84, 62], Operations: ['94-32=62']
Exploring Operation: 68-62=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 68-62=6
Current State: 14:[84, 6], Operations: ['94-32=62', '68-62=6']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
36,
63,
75,
28
] | 76 | [
"63-36=27",
"75+28=103",
"103-27=76"
] | Current State: 76:[36, 63, 75, 28], Operations: []
Exploring Operation: 63-36=27, Resulting Numbers: [75, 28, 27]
Generated Node #2: [75, 28, 27] from Operation: 63-36=27
Current State: 76:[75, 28, 27], Operations: ['63-36=27']
Exploring Operation: 75+28=103, Resulting Numbers: [27, 103]
Generated Node #3: [27, 103] from Operation: 75+28=103
Current State: 76:[27, 103], Operations: ['63-36=27', '75+28=103']
Exploring Operation: 103-27=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
92,
78,
13,
25
] | 61 | [
"92-25=67",
"78/13=6",
"67-6=61"
] | Current State: 61:[92, 78, 13, 25], Operations: []
Exploring Operation: 92-25=67, Resulting Numbers: [78, 13, 67]
Generated Node #2: [78, 13, 67] from Operation: 92-25=67
Current State: 61:[78, 13, 67], Operations: ['92-25=67']
Exploring Operation: 78/13=6, Resulting Numbers: [67, 6]
Generated Node #3: [67, 6] from Operation: 78/13=6
Current State: 61:[67, 6], Operations: ['92-25=67', '78/13=6']
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
81,
12,
49,
34
] | 14 | [
"81-12=69",
"49+34=83",
"83-69=14"
] | Current State: 14:[81, 12, 49, 34], Operations: []
Exploring Operation: 81-12=69, Resulting Numbers: [49, 34, 69]
Generated Node #2: [49, 34, 69] from Operation: 81-12=69
Current State: 14:[49, 34, 69], Operations: ['81-12=69']
Exploring Operation: 49+34=83, Resulting Numbers: [69, 83]
Generated Node #3: [69, 83] from Operation: 49+34=83
Current State: 14:[69, 83], Operations: ['81-12=69', '49+34=83']
Exploring Operation: 83-69=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
28,
56,
63,
1
] | 62 | [
"56/28=2",
"63+1=64",
"64-2=62"
] | Current State: 62:[28, 56, 63, 1], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [63, 1, 2]
Generated Node #2: [63, 1, 2] from Operation: 56/28=2
Current State: 62:[63, 1, 2], Operations: ['56/28=2']
Exploring Operation: 63+1=64, Resulting Numbers: [2, 64]
Generated Node #3: [2, 64] from Operation: 63+1=64
Current State: 62:[2, 64], Operations: ['56/28=2', '63+1=64']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
18,
94,
76,
40
] | 92 | [
"76-40=36",
"36/18=2",
"94-2=92"
] | Current State: 92:[18, 94, 76, 40], Operations: []
Exploring Operation: 76-40=36, Resulting Numbers: [18, 94, 36]
Generated Node #2: [18, 94, 36] from Operation: 76-40=36
Current State: 92:[18, 94, 36], Operations: ['76-40=36']
Exploring Operation: 36/18=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 36/18=2
Current State: 92:[94, 2], Operations: ['76-40=36', '36/18=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
40,
20,
35,
36
] | 63 | [
"40-20=20",
"35*36=1260",
"1260/20=63"
] | Current State: 63:[40, 20, 35, 36], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [35, 36, 20]
Generated Node #2: [35, 36, 20] from Operation: 40-20=20
Current State: 63:[35, 36, 20], Operations: ['40-20=20']
Exploring Operation: 35*36=1260, Resulting Numbers: [20, 1260]
Generated Node #3: [20, 1260] from Operation: 35*36=1260
Current State: 63:[20, 1260], Operations: ['40-20=20', '35*36=1260']
Exploring Operation: 1260/20=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
80,
87,
64,
33
] | 96 | [
"87+33=120",
"64*120=7680",
"7680/80=96"
] | Current State: 96:[80, 87, 64, 33], Operations: []
Exploring Operation: 87+33=120, Resulting Numbers: [80, 64, 120]
Generated Node #2: [80, 64, 120] from Operation: 87+33=120
Current State: 96:[80, 64, 120], Operations: ['87+33=120']
Exploring Operation: 64*120=7680, Resulting Numbers: [80, 7680]
Generated Node #3: [80, 7680] from Operation: 64*120=7680
Current State: 96:[80, 7680], Operations: ['87+33=120', '64*120=7680']
Exploring Operation: 7680/80=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
57,
9,
40,
48
] | 15 | [
"48-40=8",
"9*8=72",
"72-57=15"
] | Current State: 15:[57, 9, 40, 48], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [57, 9, 8]
Generated Node #2: [57, 9, 8] from Operation: 48-40=8
Current State: 15:[57, 9, 8], Operations: ['48-40=8']
Exploring Operation: 9*8=72, Resulting Numbers: [57, 72]
Generated Node #3: [57, 72] from Operation: 9*8=72
Current State: 15:[57, 72], Operations: ['48-40=8', '9*8=72']
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
28,
42,
99,
29
] | 95 | [
"28*99=2772",
"2772/42=66",
"29+66=95"
] | Current State: 95:[28, 42, 99, 29], Operations: []
Exploring Operation: 28*99=2772, Resulting Numbers: [42, 29, 2772]
Generated Node #2: [42, 29, 2772] from Operation: 28*99=2772
Current State: 95:[42, 29, 2772], Operations: ['28*99=2772']
Exploring Operation: 2772/42=66, Resulting Numbers: [29, 66]
Generated Node #3: [29, 66] from Operation: 2772/42=66
Current State: 95:[29, 66], Operations: ['28*99=2772', '2772/42=66']
Exploring Operation: 29+66=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
34,
4,
42,
88
] | 41 | [
"34+42=76",
"88+76=164",
"164/4=41"
] | Current State: 41:[34, 4, 42, 88], Operations: []
Exploring Operation: 34+42=76, Resulting Numbers: [4, 88, 76]
Generated Node #2: [4, 88, 76] from Operation: 34+42=76
Current State: 41:[4, 88, 76], Operations: ['34+42=76']
Exploring Operation: 88+76=164, Resulting Numbers: [4, 164]
Generated Node #3: [4, 164] from Operation: 88+76=164
Current State: 41:[4, 164], Operations: ['34+42=76', '88+76=164']
Exploring Operation: 164/4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
91,
15,
17,
63
] | 14 | [
"91-63=28",
"17-15=2",
"28/2=14"
] | Current State: 14:[91, 15, 17, 63], Operations: []
Exploring Operation: 91-63=28, Resulting Numbers: [15, 17, 28]
Generated Node #2: [15, 17, 28] from Operation: 91-63=28
Current State: 14:[15, 17, 28], Operations: ['91-63=28']
Exploring Operation: 17-15=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 17-15=2
Current State: 14:[28, 2], Operations: ['91-63=28', '17-15=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
87,
21,
43,
65
] | 23 | [
"87+43=130",
"130/65=2",
"21+2=23"
] | Current State: 23:[87, 21, 43, 65], Operations: []
Exploring Operation: 87+43=130, Resulting Numbers: [21, 65, 130]
Generated Node #2: [21, 65, 130] from Operation: 87+43=130
Current State: 23:[21, 65, 130], Operations: ['87+43=130']
Exploring Operation: 130/65=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 130/65=2
Current State: 23:[21, 2], Operations: ['87+43=130', '130/65=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
37,
60,
75,
96
] | 70 | [
"37+75=112",
"60*112=6720",
"6720/96=70"
] | Current State: 70:[37, 60, 75, 96], Operations: []
Exploring Operation: 37+75=112, Resulting Numbers: [60, 96, 112]
Generated Node #2: [60, 96, 112] from Operation: 37+75=112
Current State: 70:[60, 96, 112], Operations: ['37+75=112']
Exploring Operation: 60*112=6720, Resulting Numbers: [96, 6720]
Generated Node #3: [96, 6720] from Operation: 60*112=6720
Current State: 70:[96, 6720], Operations: ['37+75=112', '60*112=6720']
Exploring Operation: 6720/96=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
79,
68,
19,
61
] | 31 | [
"79-68=11",
"61-19=42",
"42-11=31"
] | Current State: 31:[79, 68, 19, 61], Operations: []
Exploring Operation: 79-68=11, Resulting Numbers: [19, 61, 11]
Generated Node #2: [19, 61, 11] from Operation: 79-68=11
Current State: 31:[19, 61, 11], Operations: ['79-68=11']
Exploring Operation: 61-19=42, Resulting Numbers: [11, 42]
Generated Node #3: [11, 42] from Operation: 61-19=42
Current State: 31:[11, 42], Operations: ['79-68=11', '61-19=42']
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
23,
23,
28,
64
] | 10 | [
"23+23=46",
"64-28=36",
"46-36=10"
] | Current State: 10:[23, 23, 28, 64], Operations: []
Exploring Operation: 23+23=46, Resulting Numbers: [28, 64, 46]
Generated Node #2: [28, 64, 46] from Operation: 23+23=46
Current State: 10:[28, 64, 46], Operations: ['23+23=46']
Exploring Operation: 64-28=36, Resulting Numbers: [46, 36]
Generated Node #3: [46, 36] from Operation: 64-28=36
Current State: 10:[46, 36], Operations: ['23+23=46', '64-28=36']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
75,
51,
27,
30
] | 21 | [
"75-51=24",
"30-27=3",
"24-3=21"
] | Current State: 21:[75, 51, 27, 30], Operations: []
Exploring Operation: 75-51=24, Resulting Numbers: [27, 30, 24]
Generated Node #2: [27, 30, 24] from Operation: 75-51=24
Current State: 21:[27, 30, 24], Operations: ['75-51=24']
Exploring Operation: 30-27=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 30-27=3
Current State: 21:[24, 3], Operations: ['75-51=24', '30-27=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
78,
52,
56,
3
] | 66 | [
"56-52=4",
"3*4=12",
"78-12=66"
] | Current State: 66:[78, 52, 56, 3], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [78, 3, 4]
Generated Node #2: [78, 3, 4] from Operation: 56-52=4
Current State: 66:[78, 3, 4], Operations: ['56-52=4']
Exploring Operation: 3*4=12, Resulting Numbers: [78, 12]
Generated Node #3: [78, 12] from Operation: 3*4=12
Current State: 66:[78, 12], Operations: ['56-52=4', '3*4=12']
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
58,
27,
15,
67
] | 21 | [
"58-27=31",
"67-15=52",
"52-31=21"
] | Current State: 21:[58, 27, 15, 67], Operations: []
Exploring Operation: 58-27=31, Resulting Numbers: [15, 67, 31]
Generated Node #2: [15, 67, 31] from Operation: 58-27=31
Current State: 21:[15, 67, 31], Operations: ['58-27=31']
Exploring Operation: 67-15=52, Resulting Numbers: [31, 52]
Generated Node #3: [31, 52] from Operation: 67-15=52
Current State: 21:[31, 52], Operations: ['58-27=31', '67-15=52']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
51,
48,
46,
87
] | 45 | [
"51+87=138",
"138/46=3",
"48-3=45"
] | Current State: 45:[51, 48, 46, 87], Operations: []
Exploring Operation: 51+87=138, Resulting Numbers: [48, 46, 138]
Generated Node #2: [48, 46, 138] from Operation: 51+87=138
Current State: 45:[48, 46, 138], Operations: ['51+87=138']
Exploring Operation: 138/46=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 138/46=3
Current State: 45:[48, 3], Operations: ['51+87=138', '138/46=3']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
60,
88,
14
] | 54 | [
"60/3=20",
"88-14=74",
"74-20=54"
] | Current State: 54:[3, 60, 88, 14], Operations: []
Exploring Operation: 60/3=20, Resulting Numbers: [88, 14, 20]
Generated Node #2: [88, 14, 20] from Operation: 60/3=20
Current State: 54:[88, 14, 20], Operations: ['60/3=20']
Exploring Operation: 88-14=74, Resulting Numbers: [20, 74]
Generated Node #3: [20, 74] from Operation: 88-14=74
Current State: 54:[20, 74], Operations: ['60/3=20', '88-14=74']
Exploring Operation: 74-20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
69,
78,
2,
38
] | 89 | [
"78-38=40",
"40/2=20",
"69+20=89"
] | Current State: 89:[69, 78, 2, 38], Operations: []
Exploring Operation: 78-38=40, Resulting Numbers: [69, 2, 40]
Generated Node #2: [69, 2, 40] from Operation: 78-38=40
Current State: 89:[69, 2, 40], Operations: ['78-38=40']
Exploring Operation: 40/2=20, Resulting Numbers: [69, 20]
Generated Node #3: [69, 20] from Operation: 40/2=20
Current State: 89:[69, 20], Operations: ['78-38=40', '40/2=20']
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
68,
17,
10,
85
] | 71 | [
"68/17=4",
"85-10=75",
"75-4=71"
] | Current State: 71:[68, 17, 10, 85], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [10, 85, 4]
Generated Node #2: [10, 85, 4] from Operation: 68/17=4
Current State: 71:[10, 85, 4], Operations: ['68/17=4']
Exploring Operation: 85-10=75, Resulting Numbers: [4, 75]
Generated Node #3: [4, 75] from Operation: 85-10=75
Current State: 71:[4, 75], Operations: ['68/17=4', '85-10=75']
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
15,
22,
2,
43
] | 16 | [
"43-15=28",
"22*2=44",
"44-28=16"
] | Current State: 16:[15, 22, 2, 43], Operations: []
Exploring Operation: 43-15=28, Resulting Numbers: [22, 2, 28]
Generated Node #2: [22, 2, 28] from Operation: 43-15=28
Current State: 16:[22, 2, 28], Operations: ['43-15=28']
Exploring Operation: 22*2=44, Resulting Numbers: [28, 44]
Generated Node #3: [28, 44] from Operation: 22*2=44
Current State: 16:[28, 44], Operations: ['43-15=28', '22*2=44']
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
13,
91,
13,
76
] | 91 | [
"13-13=0",
"76*0=0",
"91+0=91"
] | Current State: 91:[13, 91, 13, 76], Operations: []
Exploring Operation: 13-13=0, Resulting Numbers: [91, 76, 0]
Generated Node #2: [91, 76, 0] from Operation: 13-13=0
Current State: 91:[91, 76, 0], Operations: ['13-13=0']
Exploring Operation: 76*0=0, Resulting Numbers: [91, 0]
Generated Node #3: [91, 0] from Operation: 76*0=0
Current State: 91:[91, 0], Operations: ['13-13=0', '76*0=0']
Exploring Operation: 91+0=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
65,
39,
33,
35
] | 24 | [
"65-39=26",
"35-33=2",
"26-2=24"
] | Current State: 24:[65, 39, 33, 35], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [33, 35, 26]
Generated Node #2: [33, 35, 26] from Operation: 65-39=26
Current State: 24:[33, 35, 26], Operations: ['65-39=26']
Exploring Operation: 35-33=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 35-33=2
Current State: 24:[26, 2], Operations: ['65-39=26', '35-33=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
53,
69,
65,
93
] | 94 | [
"53+69=122",
"93-65=28",
"122-28=94"
] | Current State: 94:[53, 69, 65, 93], Operations: []
Exploring Operation: 53+69=122, Resulting Numbers: [65, 93, 122]
Generated Node #2: [65, 93, 122] from Operation: 53+69=122
Current State: 94:[65, 93, 122], Operations: ['53+69=122']
Exploring Operation: 93-65=28, Resulting Numbers: [122, 28]
Generated Node #3: [122, 28] from Operation: 93-65=28
Current State: 94:[122, 28], Operations: ['53+69=122', '93-65=28']
Exploring Operation: 122-28=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
10,
29,
43,
13
] | 26 | [
"43-13=30",
"30/10=3",
"29-3=26"
] | Current State: 26:[10, 29, 43, 13], Operations: []
Exploring Operation: 43-13=30, Resulting Numbers: [10, 29, 30]
Generated Node #2: [10, 29, 30] from Operation: 43-13=30
Current State: 26:[10, 29, 30], Operations: ['43-13=30']
Exploring Operation: 30/10=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 30/10=3
Current State: 26:[29, 3], Operations: ['43-13=30', '30/10=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
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